Find the value of x. Round to the nearest tenth of a unit.

21-27° Right Triangle

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1 answer

I am assuming that you are looking for the length of one of the sides of the right triangle.

Let's label the sides of the triangle as follows:

The hypotenuse of the triangle is the side opposite the right angle and we will label it as "c".

The side adjacent to the angle of 27° is "a".

The side opposite the angle of 27° is "b".

Given the angle of 27° and the length of the hypotenuse as 21, we can use trigonometric ratios to find the length of one of the sides.

Using the cosine ratio, we have:

cos(27°) = adjacent/hypotenuse

cos(27°) = a/21

a = 21(cos(27°))

a ≈ 18.3

Therefore, the length of the side adjacent to the angle of 27° is approximately 18.3 units (rounded to the nearest tenth).